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Simplifying -9 = 7(u + -6) + 4u Reorder the terms: -9 = 7(-6 + u) + 4u -9 = (-6 * 7 + u * 7) + 4u -9 = (-42 + 7u) + 4u Combine like terms: 7u + 4u = 11u -9 = -42 + 11u Solving -9 = -42 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -9 + -11u = -42 + 11u + -11u Combine like terms: 11u + -11u = 0 -9 + -11u = -42 + 0 -9 + -11u = -42 Add '9' to each side of the equation. -9 + 9 + -11u = -42 + 9 Combine like terms: -9 + 9 = 0 0 + -11u = -42 + 9 -11u = -42 + 9 Combine like terms: -42 + 9 = -33 -11u = -33 Divide each side by '-11'. u = 3 Simplifying u = 3
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